Question 1047212
Let {{{ x }}} = one of the angles
{{{ 180 - x }}} = the other angle
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{{{ 2/7 = x / ( 180 - x ) }}}
Multiply both sides by {{{ 7*( 180 - x ) }}}
{{{ 2*( 180 - x ) = 7x }}}
{{{ 360 - 2x = 7x }}}
{{{ 9x = 360 }}}
{{{ x = 40 }}}
and
{{{ 180 - x = 180 - 40 }}}
{{{ 180 - x = 140 }}}
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The angles are 40 degrees and 140 degrees
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check:
{{{ 2/7 = x / ( 180 - x ) }}}
{{{ 2/7 = 40 / 140 }}}
{{{ 2/7 = 4/14 }}}
{{{ 2/7 = 2/7 }}}
OK